Write the Partial Fraction Decomposition of the Rational Expression $\frac { 8 x ^ { 2 } + 12 x + 19 } { x ^ { 3 } + 2 x ^ { 2 } + 5 x + 10 }$

question 35

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 8 x ^ { 2 } + 12 x + 19 } { x ^ { 3 } + 2 x ^ { 2 } + 5 x + 10 }$

• A) \(\frac { 3 } { x + 2 } + \frac { 5 } { x + 5 } + \frac { 2 } { ( x + 5 ) ^ { 2 } }\)
• B) \(\frac { 3 } { x + 5 } + \frac { 5 x + 2 } { x ^ { 2 } + 2 }\)
• C) \(\frac { 3 } { x + 2 } + \frac { 5 } { x ^ { 2 } + 5 }\)
• D) \(\frac { 3 } { x + 2 } + \frac { 5 x + 2 } { x ^ { 2 } + 5 }\)

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